677483280 has 60 divisors (see below), whose sum is σ = 2275217100. Its totient is φ = 180662016.

The previous prime is 677483249. The next prime is 677483281. The reversal of 677483280 is 82384776.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 538054416 + 139428864 = 23196^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (677483281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469755 + ... + 471194.

It is an arithmetic number, because the mean of its divisors is an integer number (37920285).

Almost surely, 2^677483280 is an apocalyptic number.

677483280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677483280 is an abundant number, since it is smaller than the sum of its proper divisors (1597733820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677483280 is a wasteful number, since it uses less digits than its factorization.

677483280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940968 (or 940959 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 677483280 is about 26028.5089853414. The cubic root of 677483280 is about 878.2797316104.

The spelling of 677483280 in words is "six hundred seventy-seven million, four hundred eighty-three thousand, two hundred eighty".